show up vs come out

show up and come out both are verbs.

Word	Noun	Adjective	Verb	Adverb
show up	No	No	Yes	No
come out	No	No	Yes	No

As verbs, show up and come out are synonyms defined as:

Other synonyms of show up include come on, surface, turn up.

show up (verb)	come out (verb)
appear or become visible; make a showing	appear or become visible; make a showing
be or become visible or noticeable	be issued or published
	break out
	come out of
	take a place in a competition; often followed by an ordinal
	be made known; be disclosed or revealed
	to state openly and publicly one's homosexuality
	bulge outward
	make oneself visible; take action
	drop out
	result or end